RT info:eu-repo/semantics/preprint
T1 Birational transformations preserving rational solutions of algebraic ordinary differential equations
A1 Ngo, L. X. Chau
A1 Sendra Pons, Juan Rafael
A1 Winkler, Franz
K1 Rational parametrization
K1 Integral curve
K1 Integral birational transformation
K1 Rational solution
K1 Algebraic diferential equation
K1 Ciencia
K1 Matemáticas
K1 Science
K1 Mathematics
AB We characterize the set of all rational transformations with the property of pre-serving the existence of rational solutions of algebraic ordinary di erential equations(AODEs). This set is a group under composition and, by its action, partitions the setof AODEs into equivalence classes for which the existence of rational solutions is aninvariant property. Moreover, we describe how the rational solutions, if any, of twodifferent AODEs in the same class are related.
PB Elsevier
SN 0377-0427
YR 2015
FD 2015-05-01
LK http://hdl.handle.net/10017/28564
UL http://hdl.handle.net/10017/28564
LA eng
NO J.R. Sendra belongs to the Research Group ASYNACS
NO Ministerio de Economía y Competitividad
DS MINDS@UW
RD 20-abr-2024